An automobile tire at 32.0 psi at 25.0 °C is driven on a trip.At the end of the trip the pressure is 35.0 psi.What is the temperature of the tire in degrees Celsius?
A)27.3 °C
B)22.8 °C
C)52.9 °C
D)57.0 °C
E)60.0 °C

Question

Quizplus · Accepted Answer

The relationship between pressure and temperature for a given volume and amount of gas is described by the ideal gas law, which can be rearranged in the form of P1/T1 = P2/T2, where P is pressure and T is temperature in Kelvin. To find the final temperature (T2), we rearrange the equation to T2 = T1 * (P2/P1). First, convert the initial temperature to Kelvin: 25.0 °C + 273.15 = 298.15 K. Then, calculate T2: T2 = 298.15 K * (35.0 psi / 32.0 psi) = 325.05 K. Finally, convert T2 back to Celsius: 325.05 K - 273.15 = 51.9 °C, which rounds to 52.9 °C when considering significant figures and options provided.

An Automobile Tire at 32